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Simplifying -5(4x + 2) + 2x + 5 = 67 Reorder the terms: -5(2 + 4x) + 2x + 5 = 67 (2 * -5 + 4x * -5) + 2x + 5 = 67 (-10 + -20x) + 2x + 5 = 67 Reorder the terms: -10 + 5 + -20x + 2x = 67 Combine like terms: -10 + 5 = -5 -5 + -20x + 2x = 67 Combine like terms: -20x + 2x = -18x -5 + -18x = 67 Solving -5 + -18x = 67 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -18x = 67 + 5 Combine like terms: -5 + 5 = 0 0 + -18x = 67 + 5 -18x = 67 + 5 Combine like terms: 67 + 5 = 72 -18x = 72 Divide each side by '-18'. x = -4 Simplifying x = -4
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